3.4 Simplify Radical Expressions

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Simplify Radical Expressions

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Presentation transcript:

3.4 Simplify Radical Expressions 3.2, 3.4 Quiz: Friday 3.2, 3.4, 3.5, 3.7 Test: April 1

Properties to Remember You can only add two radicals if the radicand is the same. And you only add the coefficients When multiplying radicals: Multiply the coefficients together, and the radicands together. (always simplify) The conjugate of a radical is the opposite sign.

Rationalizing the Denominator The process of eliminating a radical from an expression’s denominator is called rationalizing the denominator. Example: We do NOT like having a radical in the denominator!!!!

What perfect square is in 28?? Example 1: What perfect square is in 28?? Simplify the expression:

Example 2: Simplify the expression:

You Try Simplify the expressions:

Example 3: Simplify the expression:

Example 4: Simplify the expression:

You Try: Simplify the expression:

We need to multiply by the conjugate! Example 5: Rationalize the denominator We need to multiply by the conjugate!

We want 20 to just be 5…what perfect square can we take out? Example 6: Add or Subtract We want 20 to just be 5…what perfect square can we take out?

Homework P. 144 #1-24all